class Solution {
public:
    vector<int> productExceptSelf(vector<int>& nums) {
        int n = nums.size();
        vector<int> f(n),g(n);
        f[0] = g[n-1] = 1;
        
        for(int i = 1;i<n;i++)
        {
            f[i] = f[i-1]*nums[i-1];
        }
        for(int i = n-2;i>=0;i--)
        {
            g[i] = g[i+1]*nums[i+1];
        }
        vector<int> answer(n);
        answer[0] = g[0];
        for(int i = 1;i<n;i++)
        {
            answer[i] = f[i]*g[i];
        }

        return answer;

    }
};